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Abstract

In this thesis, we simulate large-amplitude motion of threedimensional bodies in waves using a higher-order boundary element method. A `geometry-independent' approach is adopted in which the representation of the body surface is separated from the discretization of the hydrodynamic solution,
Traditional formulations of the wave-body problem assume smallamplitude waves and body motions, and perturbation expansion about the mean position of the body and free surface leads to a completely linearized system. In the present thesis, the body boundary condition is imposed exactly, but disturbances at the free-surface are assumed to be small enough to justify linearization. Previous applications of this so-called bodyexact problem have concentrated on the analysis of heave and pitch motion of ships with forward speed. This study focuses on marine applications where a large-amplitude response is induced by small-amplitude incident waves.
The time-varying nature of the body-exact formulation makes its numerical solution computationally intensive. Therefore, a new 'higher-order' panel method has been developed to overcome inefficiencies associated with the conventional constantstrength planar-panel approach. Unlike most higher-order schemes, the present method separates the discretization of the hydrodynamic solution from the representation of the body surface by applying a B-spline description of the potential over a generic parameterization of the geometry. This allows for accurate (or even analytic) representation of the surface while retaining the desirable characteristics of higher-order methods, most notably improved efficiency and the ability to evaluate gradients of the potential needed for nonlinear analyses. Robustness and efficiency of the present method are demonstrated by its application to three problems in which the largeamplitude response of the body is important,
In the First example, we examine the hydrodynamic loads on an underwater vehicle during a nearsurface maneuver, The vertical drift force is found by integrating the quadratic Bernoulli pressure, and its variation with respect to submergence is shown to complicate the control of the vessel.
Next, multi-body interactions are examined in the context of the drift motion of a floating body in the vicinity of a fixed structure. Here, the presence of the structure is shown to repel the floating body against the direction of incident wave propagation for certain conditions.

Copyright

This record is the front matter from a document that appears on a server at MIT and is used through permission from MIT.

Country

United States

Language

English (United States)

This text was extracted from a PDF file.

This is the abbreviated version, containing approximately
14% of the total text.

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This record is the front matter from a document that appears on a server at MIT and is used through permission from MIT. See
http://theses.mit.edu:80/Dienst/UI/2.0/Describe/0018.mit.theses/1999-119 for copyright details and for the full document in image
form.

A Higher-Order Panel Method for Large-Amplitude Simulations of Bodies
in Waves

M.S., Naval Architecture & Offshore Engineering, University of California at Berkeley.....1994 Submitted in partial fulfillment of the requirements for the degree of
Doctor of Philosophy
in Hydrodynamics

A higher-order panel method for large-amplitude simulations of bodies in waves

A Higher-Order Panel Method for Large-Amplitude Simulations of Bodies in Waves

by

Donald Gregory Danmeier

Submitted to the Department of Ocean Engineering on November fi, 1998, in partial fulfillment of
the requirements for the degree of Doctor of Philosophy in Hydrodynamics

Abstract

In this thesis, we simulate large-amplitude motion of threedimensional bodies in waves using a
higher-order boundary element method. A `geometry-independent' approach is adopted in
which the representation of the body surface is separated from the discretization of the
hydrodynamic solution,

Traditional formulations of the wave-body problem assume smallamplitude waves and body
motions, and perturbation expansion about the mean position of the body and free surface leads
to a completely linearized system. In the present thesis, the body boundary condition is imposed
exactly, but disturbances at the free-surface are assumed to be small enough to justify
linearization. Previous applications of this so-called bodyexact problem have concentrated on
the analysis of heave and pitch motion of ships with forward speed. This study focuses on
marine applications where a large-amplitude response is induced by small-amplitude incident
waves.

The time-varying nature of the body-exact formulation makes its numerical solution
computationally intensive. Therefore, a new 'higher-order' panel method has been developed to
overcome inefficiencies associated with the conventional constantstrength planar-panel
approach. Unlike most higher-order schemes, the present method separates the discretization
of the hydrodynamic solution from the representation of the body surface by applying a B-spline
description of the potential over a generic parameter...